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The capacitated single-allocation p-hub location routing problem: a Lagrangian relaxation and a hyper-heuristic approach

Author

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  • Kassem Danach

    (Islamic University of Lebanon)

  • Shahin Gelareh

    (Université Artois)

  • Rahimeh Neamatian Monemi

    (University of Southampton)

Abstract

A variant of the hub location routing problem studied in this work, which is the problem of locating a set of hub nodes, is establishing the hub-level network and allocating the spoke nodes to the hub nodes. As a particular property of this problem, each cluster of spoke nodes allocated to a hub constitutes a directed route that starts from the hub, visits all the spokes in the same cluster, and terminates to the same hub. We propose a hybrid of hyper-heuristic and a relax-and-cut solution method, which includes cooperation among several low-level heuristics governed and controlled by a learning mechanism. This hybridization provides a mechanism in which the obtained dual information through the Lagrangian relaxation (bundle) method being utilized to guide the local searches for constructing/improving feasible solutions. Several classes of valid inequalities as well as efficient separation routings are also proposed for being used within the relax-and-cut approach. Our extensive computational experiments confirm the efficiency of this solution method in terms of quality as well as computational time.

Suggested Citation

  • Kassem Danach & Shahin Gelareh & Rahimeh Neamatian Monemi, 2019. "The capacitated single-allocation p-hub location routing problem: a Lagrangian relaxation and a hyper-heuristic approach," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(5), pages 597-631, December.
    • Handle: RePEc:spr:eurjtl:v:8:y:2019:i:5:d:10.1007_s13676-019-00141-w
    DOI: 10.1007/s13676-019-00141-w
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    References listed on IDEAS

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    1. Rolland, Erik & Schilling, David A. & Current, John R., 1997. "An efficient tabu search procedure for the p-Median Problem," European Journal of Operational Research, Elsevier, vol. 96(2), pages 329-342, January.
    2. Monique Guignard, 2003. "Lagrangean relaxation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(2), pages 151-200, December.
    3. Marshall L. Fisher, 2004. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 50(12_supple), pages 1861-1871, December.
    4. Manfred W. Padberg & M. R. Rao, 1982. "Odd Minimum Cut-Sets and b -Matchings," Mathematics of Operations Research, INFORMS, vol. 7(1), pages 67-80, February.
    5. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    6. Abdinnour-Helm, Sue, 1998. "A hybrid heuristic for the uncapacitated hub location problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 489-499, April.
    7. Ebery, Jamie & Krishnamoorthy, Mohan & Ernst, Andreas & Boland, Natashia, 2000. "The capacitated multiple allocation hub location problem: Formulations and algorithms," European Journal of Operational Research, Elsevier, vol. 120(3), pages 614-631, February.
    8. Alumur, Sibel & Kara, Bahar Y., 2008. "Network hub location problems: The state of the art," European Journal of Operational Research, Elsevier, vol. 190(1), pages 1-21, October.
    9. Edmund K. Burke & Matthew Hyde & Graham Kendall & Gabriela Ochoa & Ender Özcan & John R. Woodward, 2010. "A Classification of Hyper-heuristic Approaches," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 449-468, Springer.
    10. Wasner, Michael & Zapfel, Gunther, 2004. "An integrated multi-depot hub-location vehicle routing model for network planning of parcel service," International Journal of Production Economics, Elsevier, vol. 90(3), pages 403-419, August.
    11. Ilic, Aleksandar & Urosevic, Dragan & Brimberg, Jack & Mladenovic, Nenad, 2010. "A general variable neighborhood search for solving the uncapacitated single allocation p-hub median problem," European Journal of Operational Research, Elsevier, vol. 206(2), pages 289-300, October.
    12. A.T. Ernst & M. Krishnamoorthy, 1999. "Solution algorithms for the capacitated single allocation hub location problem," Annals of Operations Research, Springer, vol. 86(0), pages 141-159, January.
    13. Campbell, Ann Melissa & Lowe, Timothy J. & Zhang, Li, 2007. "The p-hub center allocation problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 819-835, January.
    14. Matteo Fischetti & Juan José Salazar González & Paolo Toth, 1998. "Solving the Orienteering Problem through Branch-and-Cut," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 133-148, May.
    15. G. Nagy & S. Salhi, 1998. "The many-to-many location-routing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 6(2), pages 261-275, December.
    16. Ting, Ching-Jung & Chen, Chia-Ho, 2013. "A multiple ant colony optimization algorithm for the capacitated location routing problem," International Journal of Production Economics, Elsevier, vol. 141(1), pages 34-44.
    17. Tuzun, Dilek & Burke, Laura I., 1999. "A two-phase tabu search approach to the location routing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 87-99, July.
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